From fb2ddff7faa695628d8a1096434ff7948a191d23 Mon Sep 17 00:00:00 2001 From: milner Date: Tue, 22 Sep 2026 20:42:00 +0200 Subject: [PATCH] add(metaterm): free variable laws for lifting opening and closing on metaterms (M5 binding) --- graphs/dependency.dot | 10 + graphs/dependency.png | Bin 576871 -> 612373 bytes graphs/dependency.svg | 746 +++++++++++++++++++++++------------------- graphs/theorems.json | 85 +++++ theory/Metaterm.v | 51 +++ 5 files changed, 561 insertions(+), 331 deletions(-) diff --git a/graphs/dependency.dot b/graphs/dependency.dot index 3171ae0..eccb285 100644 --- a/graphs/dependency.dot +++ b/graphs/dependency.dot @@ -32,6 +32,14 @@ digraph theorem_deps { enumerate_check [label="enumerate_check", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_check theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; enumerate_sound [label="enumerate_sound", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_sound theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; enumerate_complete [label="enumerate_complete", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_complete theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + of_trm_fvs [label="of_trm_fvs", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_fvs theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + of_trm_lift [label="of_trm_lift", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_lift theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + of_trm_open [label="of_trm_open", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_open theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + of_trm_close [label="of_trm_close", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_close theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + of_trm_injective [label="of_trm_injective", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_injective theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + mfvs_lift_m [label="mfvs_lift_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_lift_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + mfvs_close_m [label="mfvs_close_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_close_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; + mfvs_open_m [label="mfvs_open_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_open_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; Plus_red1_context [label="Plus_red1_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Plus_red1_context theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; occurs_count_zero [label="occurs_count_zero", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="occurs_count_zero theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; occurs_count_false [label="occurs_count_false", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="occurs_count_false theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse]; @@ -128,6 +136,8 @@ digraph theorem_deps { check_all_true -> enumerate_check; steps_sound -> enumerate_sound; steps_complete -> enumerate_complete; + of_trm_lift -> of_trm_open; + mfvs_lift_m -> mfvs_open_m; occurs_count_zero -> occurs_count_pos; occurs_count_false -> occurs_count_zfill_plug; occurs_lift_self -> 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